What is the significance of the number, 32767? [duplicate]

I realize in some programming languages, random number generators generate a default value of 0 to 32767 (for example, in php, rand(); will return a float between 0 and 32767). What is the significance of such a random number? (As it is not a power of two or anything special like that.)

1

3 Answers

It is 2^15-1, so the maximum value of a 16-bit signed integer.

I guess, On 16-bit implementations (still common when the C89 standard was written) that was the largest signed integer.

32767 + 1 is a power of 2 Binary representation of numbers uses powers of 2. So, in an 4-bit structure, 0101 is 2^0 x 1, 2^1 x 0, 2^2 x 1, and 2^3 x 0 which is 5.

The MSB is used for sign and unsigned integers.

1

You Might Also Like